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Finding the Fourth Proportional to 54.90, 82.28 and 27.82

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Solution

The fourth proportional to 54.90, 82.28 and 27.82 is: 41.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.90 : 82.28 = 27.82 : x
  2. Step 2: Convert to fraction form
    54.90/82.28 = 27.82/x
  3. Step 3: Cross multiply
    54.90x = 82.28 × 27.82
  4. Step 4: Simplify right side
    54.90x = 2,289.03
  5. Step 5: Solve for x
    x = 2,289.03/54.90
  6. Step 6: Final answer
    x = 41.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.